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Excursions in classical analysis : pathways to advanced problem solving and undergraduate research

Autor: Hongwei Chen; Mathematical Association of America.
Editora: Washington, DC : Mathematical Association of America, ©2010.
Séries: Classroom resource materials.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:

A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

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Gênero/Forma: Electronic books
Problems, exercises, etc
Formato Físico Adicional: Print version:
Chen, Hongwei.
Excursions in classical analysis.
Washington, DC : Mathematical Association of America, c2010
(OCoLC)650187102
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Hongwei Chen; Mathematical Association of America.
ISBN: 9780883859353 0883859351
Número OCLC: 793652733
Descrição: 1 online resource (xiii, 301 p.) : ill.
Conteúdos: Two classical inequalities --
A new approach for proving inequalities --
Means generated by an integral --
The L'Hôpital monotone rule --
Trigonometric identities via complex numbers --
Special numbers --
On a sum of cosecants --
The gamma products in simple closed forms --
On the telescoping sums --
Summation of subseries in closed form --
Generating functions for powers of Fibonacci numbers --
Identities for the Fibonacci powers --
Bernoulli numbers via determinants --
On some finite trigonometric power sums --
Power series of (arcsin x)² --
Six ways to sum [zeta] 2 --
Evaluations of some variant Euler sums --
Interesting series involving binomial coefficients --
Parametric differentiation and integration --
Four ways to evaluate the Poisson integral --
Some irresistible integrals.
Título da Série: Classroom resource materials.
Responsabilidade: Hongwei Chen.

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